"Theory of the Motion of the Moon; containing a New Calculation of the Expressions for the Coordinates of the Moon in terms of Time", by Ernest W. Brown, published in the Memoirs of the Royal Astronomical Society in five parts, between 1897 and 1908. This paper is a publication of the details of Brown's lunar theory, which was used for calculating lunar ephemerides in the American Ephemeris and Nuatical Almanac until 1984.